Lecture-1-4 Basic Concepts of Physiological System:
Introduction to physiological system and mathematical modeling of physiological system,classification of model - grey box & black box, parametric & non parametric, lumped & distributed models, characteristics of models. Purpose of physiological modeling. Engineering system and physiological system.
Lecture-5-8 Mathematical Modeling:
System variables & properties- Resistance, Compliance & their analogy. Linear model of respiratory mechanics, SIMULINK model of simple lung mechanics, Linear model of Muscle mechanics.
Lecture-9-15 Time-Domain Analysis of Linear Control Systems:
Time domain analysis – Introduction to first order and second order model - Respiratory mechanics – open loop and closed loop model of lung mechanics – First order model – impulse and step response – Second order model – Impulse response – undamped, under damped, critically damped, and over damped behaviour – Method of obtaining step response from impulse response – Transient response descriptors – Model of neuromuscular reflex motion – Model of Regulation of Glucose-Insulin.
Lecture-16-21 Complex Dynamics in Physiological Control Systems:
Spontaneous variability, nonlinear control systems with delayed feedback, coupled nonlinear oscillators: model of circadian rhythms, time-varying physiological closed-loop systems: Sleep apnea model